Question

The ratio of Andrew's money to Paul's money was 5: 2 at first. After Andrew gave $30 to Paul, they had an equal amount of money each. How much money did they have altogether?

Answer 1

Explanation:

Let's assume that Andrew had $5x at first, and Paul had $2x.

After Andrew gave $30 to Paul, Andrew has $5x-$30, and Paul has $2x+$30.

We are told that they had an equal amount of money each after the transaction. This means:

5x - 30 = 2x + 30

Solving for x, we get:

3x = 60

x = 20

So Andrew had $5x = $100 at first, and Paul had $2x = $40.

After the transaction, Andrew had $100-$30 = $70, and Paul had $40+$30 = $70.

Together, they had $70+$70 = $140.

Therefore, they had $140 altogether.